Seven Curriculum Modules for Undergraduate Programs at the School of Mathematics and Statistics, Wuhan University (2025 Edition)
Module 1: Advanced Courses of the School of Mathematics and Statistics (6 courses)
(1) Mathematical Analysis I (4 credits), Mathematical Analysis I—Exercise Class (1 credit), every academic year, Semester 1
(2) Mathematical Analysis II (5 credits), Mathematical Analysis II—Exercise Class (1 credit), every academic year, Semester 2
(3) Mathematical Analysis III (5 credits), Mathematical Analysis III—Exercise Class (1 credit), every academic year, Semester 1
(4) Algebra I (4 credits), Algebra I—Exercise Class (1 credit), every academic year, Semester 1
(5) Algebra II (5 credits), Algebra II—Exercise Class (1 credit), every academic year, Semester 2
(6) Geometry and Topology (4 credits), every academic year, Semester 1
Module 2: Core Courses Outside the Advanced Mathematics Sequence (3 courses)
(1) Ordinary Differential Equations (4 credits), every academic year, Semester 1
(2) Complex Analysis (4 credits), every academic year, Semester 1
(3) Probability Theory (3 credits), every academic year, Semester 1
Module 3: Core Courses for the Mathematics and Applied Mathematics Major (8 out of 14 courses)
(1) Groups and Representations (3 credits), every academic year, Semester 2
(2) Mathematical Modeling (3 credits), every academic year, Semester 2
(3) Optimization Theory and Methods (3 credits), every academic year, Semester 1
(4) Partial Differential Equations (3 credits), every academic year, Semester 1
(5) Differential Manifolds (3 credits), every academic year, Semester 1
(6) Elementary Topology (3 credits), every academic year, Semester 1
(7) Real Analysis (3 credits), every academic year, Semester 1
(8) Differential Geometry (3 credits), every academic year, Semester 1
(9) Fundamentals of Number Theory (3 credits), every academic year, Semester 2
(10) Functional Analysis (3 credits), every academic year, Semester 2
(11) Homology Theory (3 credits), every academic year, Semester 2
(12) Elementary Algebraic Geometry (3 credits), every academic year, Semester 2
(13) Mathematical Methods in Classical Mechanics (3 credits), every academic year, Semester 2
(14) Graduation Thesis (6 credits), every academic year, Semester 2
Module 4: Core Courses for the Financial Mathematics Concentration (8 out of 12 courses)
(1) Microeconomics (3 credits), every academic year, Semester 2
(2) Mathematical Statistics (3 credits), every academic year, Semester 2
(3) Financial Mathematics (3 credits), every academic year, Semester 2
(4) Securities Investment (3 credits), every academic year, Semester 2
(5) Elementary Topology (3 credits), every academic year, Semester 1
(6) Macroeconomics (3 credits), every academic year, Semester 1
(7) Real Analysis (3 credits), every academic year, Semester 1
(8) Econometrics (3 credits), every academic year, Semester 1
(9) Monetary and Banking Economics (3 credits), every academic year, Semester 1
(10) Multivariate Statistical Analysis (3 credits), every academic year, Semester 1
(11) Stochastic Processes (3 credits), every academic year, Semester 2
(12) Graduation Thesis (6 credits), every academic year, Semester 2
Module 5: Core Courses for the Information and Computational Science Major (8 out of 12 courses)
(1) Numerical Linear Algebra (3 credits), every academic year, Semester 2
(2) Data Structures and Algorithms (C++) (3 credits), every academic year, Semester 2
(3) Machine Learning (3 credits), every academic year, Semester 2
(4) Elementary Topology (3 credits), every academic year, Semester 1
(5) Optimization Theory and Methods (3 credits), every academic year, Semester 1
(6) Partial Differential Equations (3 credits), every academic year, Semester 1
(7) Real Analysis (3 credits), every academic year, Semester 1
(8) Numerical Analysis (3 credits), every academic year, Semester 1
(9) Functional Analysis (3 credits), every academic year, Semester 2
(10) Numerical Solutions of Differential Equations (3 credits), every academic year, Semester 2
(11) Fundamentals of Data Science (3 credits), every academic year, Semester 2
(12) Graduation Thesis (6 credits), every academic year, Semester 2
Module 6: Core Courses for the Statistics Major (8 out of 12 courses)
(1) Mathematical Statistics (3 credits), every academic year, Semester 2
(2) Statistical Computing (3 credits), every academic year, Semester 2
(3) Machine Learning (3 credits), every academic year, Semester 2
(4) Elementary Topology (3 credits), every academic year, Semester 2
(5) Sampling Survey (3 credits), every academic year, Semester 1
(6) Multivariate Statistical Analysis (3 credits), every academic year, Semester 1
(7) Stochastic Processes (3 credits), every academic year, Semester 1
(8) Applied Regression Analysis (3 credits), every academic year, Semester 1
(9) Real Analysis (3 credits), every academic year, Semester 2
(10) Biostatistics (3 credits), every academic year, Semester 2
(11) Measure Theory (3 credits), every academic year, Semester 2
(12) Graduation Thesis (6 credits), every academic year, Semester 2
Module 7: Core Courses for the Data Science and Big Data Technology Major (8 out of 12 courses)
(1) Data Structures and Algorithms (C++) (3 credits), every academic year, Semester 2
(2) Statistical Computing (3 credits), every academic year, Semester 2
(3) Mathematical Statistics (3 credits), every academic year, Semester 2
(4) Numerical Analysis (3 credits), every academic year, Semester 1
(5) Elementary Topology (3 credits), every academic year, Semester 1
(6) Optimization Theory and Methods (3 credits), every academic year, Semester 1
(7) Fundamentals of Data Science (3 credits), every academic year, Semester 2
(8) Random Simulation Methods (3 credits), every academic year, Semester 2
(9) Multiscale Analysis (3 credits), every academic year, Semester 2
(10) Numerical Linear Algebra (3 credits), every academic year, Semester 2
(11) Machine Learning (3 credits), every academic year, Semester 2
(12) Graduation Thesis (6 credits), every academic year, Semester 2
Module 8: Core Courses for the Applied Mathematics and Statistics (Ziqiang Honors Track) (8 out of 12 courses)
(1) Real Analysis (3 credits), every academic year, Semester 2
(2) Numerical Analysis (3 credits), every academic year, Semester 2
(3) Optimization Theory and Methods (3 credits), every academic year, Semester 1
(4) Computational Mechanics (3 credits), every academic year, Semester 1
(5) Partial Differential Equations (3 credits), every academic year, Semester 1
(6) Fundamentals of Data Science (3 credits), every academic year, Semester 2
(7) Numerical Linear Algebra (3 credits), every academic year, Semester 1
(8) Mathematical Statistics (3 credits), every academic year, Semester 2
(9) Graduation Thesis (6 credits), every academic year, Semester 2
Module 9: Advanced Mathematics Courses for the Sino-French Elite Mathematics Class (8 courses)
(1) Analysis I (4 credits), Analysis I—Exercise Class (2 credits), every academic year, Semester 1
(2) Analysis II (4 credits), Analysis II—Exercise Class (2 credits), every academic year, Semester 2
(3) Analysis III (6 credits), Analysis III—Exercise Class (2 credits), every academic year, Semester 1
(4) Analysis IV (6 credits), Analysis IV—Exercise Class (2 credits), every academic year, Semester 2
(5) Algebra I (4 credits), Algebra I—Exercise Class (2 credits), every academic year, Semester 1
(6) Algebra II (4 credits), Algebra II—Exercise Class (2 credits), every academic year, Semester 2
(7) Algebra III (6 credits), Algebra III—Exercise Class (2 credits), every academic year, Semester 1
(8) Algebra IV (6 credits), Algebra IV—Exercise Class (2 credits), every academic year, Semester 2
Module 10: Core Courses for the Sino-French Elite Mathematics Class (8 courses)
(1) Differential Geometry (2 credits), Differential Geometry—Exercise Class (1 credit), every academic year, Semester 1
(2) Functional Analysis (2 credits), Functional Analysis—Exercise Class (1 credit), every academic year, Semester 1
(3) Selected Topics in Modern Mathematics (1) (2 credits), Selected Topics in Modern Mathematics (1)—Exercise Class (1 credit), every academic year, Semester 1
(4) Complex Analysis (2 credits), Complex Analysis—Exercise Class (1 credit), every academic year, Semester 1
(5) Graduation Thesis (6 credits), every academic year, Semester 2
